Atkin-Lehner |
2+ 3- 7+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822d |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-1932541472526336 = -1 · 212 · 39 · 7 · 174 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 2 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-483939,-129475179] |
[a1,a2,a3,a4,a6] |
j |
-17193668803774183729/2650948521984 |
j-invariant |
L |
1.4480642339739 |
L(r)(E,1)/r! |
Ω |
0.090504014571793 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29274bl1 |
Quadratic twists by: -3 |